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2018 AMC 8 Question 22

AMC8 · 2018 AMC 8

Question 22

Point $E$ is the midpoint of side $\overline{CD}$ in square $ABCD,$ and $\overline{BE}$ meets diagonal $\overline{AC}$ at $F.$ The area of quadrilateral $AFED$ is $45.$ What is the area of $ABCD?$

Question illustration
  1. $ 100 $
  2. $ 108 $
  3. $ 120 $
  4. $ 135 $
  5. $ 144 $